Details

analyze61.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	37.5%	62.5%	0
0%	37.5%	62.5%	1
0%	18.7%	81.3%	2
0%	9.4%	90.6%	3
0%	9.4%	90.6%	4
0%	7%	93%	5
1.2%	4.7%	94.1%	6
1.2%	3.5%	95.3%	7
1.8%	2.6%	95.6%	8
2%	1.9%	96%	9
2.4%	1.3%	96.3%	10
2.6%	1%	96.5%	11
2.7%	0.7%	96.6%	12
2.8%	0.5%	96.7%	13
2.9%	0.3%	96.7%	14

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.8s (38.8%)

Results

1.7s	8256×	body	128	valid
86.0ms	391×	body	128	invalid

Compiler

Compiled 52 to 30 computations (42.3% saved)

preprocess92.0ms (2%)

Algorithm

2×	egg-herbie

Rules

522×	`rules-23-rev_binary64`
514×	`rules-4_binary64`
172×	`rules-6_binary64`
141×	`rules-6-rev_binary64`
118×	`rules-33_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	45	34
2	152	34
3	635	34
4	4807	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 b (/.f64 a b))) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 b (/.f64 (*.f64 a a) b)) b)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 a b))) b)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

493×	`rules-24-rev_binary64`
359×	`rules-33_binary64`
296×	`rules-24_binary64`
216×	`rules-23-rev_binary64`
204×	`rules-4_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	26	17
2	87	17
3	343	17
4	2234	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 (.f64 a a) (.f64 b b))) (*.f64 a a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
	14.3b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 82 to 46 computations (43.9% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
✓	0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
✓	0.1b	(*.f64 b (/.f64 b a))

series72.0ms (1.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	b	@	-inf	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
6.0ms	a	@	-inf	(*.f64 b (/.f64 b a))
4.0ms	b	@	inf	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
4.0ms	a	@	-inf	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
4.0ms	a	@	-inf	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)

rewrite100.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

415×	`rules-20_binary64`
189×	`rules-34-rev_binary64`
156×	`rules-21_binary64`
127×	`rules-22-rev_binary64`
127×	`rules-24_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	222	35
2	3149	35

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs
(*.f64 b (/.f64 b a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (/.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 b (/.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 b (/.f64 b a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (fabs.f64 (/.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (fabs.f64 (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 b (/.f64 b a)) 3) (pow.f64 (.f64 b (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 a)) (fabs.f64 (/.f64 1 (/.f64 b (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b (.f64 0 (/.f64 a b))) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 b (.f64 0 (/.f64 a b)))) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 b b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 b a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) b 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (/.f64 b a)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b a))) 2) (cbrt.f64 (.f64 b (/.f64 b a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) (fabs.f64 (pow.f64 1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))) (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2)))) (fabs.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2)) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/4) (fabs.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 a (.f64 b (/.f64 b a)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2))) (fabs.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 2)) 1/2) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 a) 2)) (-.f64 0 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) (sqrt.f64 a)) (-.f64 0 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b a) (/.f64 (-.f64 (.f64 a (/.f64 a b)) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b a) (fabs.f64 (/.f64 (-.f64 (.f64 a (/.f64 a b)) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a (.f64 b (/.f64 b a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a (.f64 b (/.f64 b a))) (fabs.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))) (.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b 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Outputs

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(2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (fabs.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 2))) (fabs.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 2)) 1/2) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 a) 2)) (-.f64 0 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) (sqrt.f64 a)) (-.f64 0 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (fabs.f64 (/.f64 (-.f64 (*.f64 a (/.f64 a b)) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a (*.f64 b (/.f64 b a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a (*.f64 b (/.f64 b a))) (fabs.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2) (/.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2) (fabs.f64 (/.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 2)) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4)) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (-.f64 a (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 a (/.f64 a b)) b) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a) (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a) (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 2)) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

684×	`rules-23-rev_binary64`
304×	`rules-20_binary64`
189×	`rules-12-rev_binary64`
176×	`rules-24_binary64`
166×	`rules-22-rev_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	852
1	42	849
2	160	849
3	366	849
4	1534	849

Stop Event

1×	node limit

Counts

213 → 149

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
1
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
1
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
1
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))

Outputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(*.f64 b (/.f64 b a))
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(/.f64 (*.f64 b b) a)
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(/.f64 (*.f64 b b) a)
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(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
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(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
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(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
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(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
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(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (pow.f64 b 2) a)) a)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (/.f64 b (/.f64 a b)))) a))
(sqrt.f64 (/.f64 (fabs.f64 (-.f64 a (*.f64 b (/.f64 b a)))) a))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 -1 (.f64 b b)) (*.f64 a a))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(.f64 b (/.f64 b (.f64 a (neg.f64 a))))
(*.f64 (/.f64 b a) (/.f64 b (neg.f64 a)))
(*.f64 b (/.f64 (/.f64 b a) (neg.f64 a)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
1
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
1
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
1
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 -1 (.f64 b b)) (*.f64 a a))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(.f64 b (/.f64 b (.f64 a (neg.f64 a))))
(*.f64 (/.f64 b a) (/.f64 b (neg.f64 a)))
(*.f64 b (/.f64 (/.f64 b a) (neg.f64 a)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 -1 (.f64 b b)) (*.f64 a a))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(.f64 b (/.f64 b (.f64 a (neg.f64 a))))
(*.f64 (/.f64 b a) (/.f64 b (neg.f64 a)))
(*.f64 b (/.f64 (/.f64 b a) (neg.f64 a)))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))

prune223.0ms (4.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	148	3	151

Error

Counts

151 → 3

Alt Table

Status	Error	Program
	0.1b	(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))
▶	0.0b	(pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)
	0.0b	(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))

Status

Error

Program

0.1b

(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))

▶

0.0b

(pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)

0.0b

(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))

Compiler

Compiled 2542 to 829 computations (67.4% saved)

localize23.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
✓	0.0b	(pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)
	0.1b	(*.f64 b (/.f64 b a))

series54.0ms (1.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	b	@	-inf	(pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)
11.0ms	b	@	inf	(pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)
11.0ms	a	@	0	(pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)
9.0ms	b	@	0	(pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)
6.0ms	a	@	-inf	(pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)

rewrite72.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`rules-20_binary64`
215×	`rules-34-rev_binary64`
163×	`rules-21_binary64`
129×	`rules-15-rev_binary64`
112×	`rules-24_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	224	16
2	3131	16

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) (pow.f64 1 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) (fabs.f64 (pow.f64 1 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)) (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/4) (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 3/2) (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 2) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2) (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2)) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 2) 3/2)) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 3) (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/4) (fabs.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 2) 3/2) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3/2 (log.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/4) (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 a (.f64 b (/.f64 b a))) a) 3/2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) (pow.f64 1 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) (fabs.f64 (pow.f64 1 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)) (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/4) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2) (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2)) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 3/2)) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 3) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/4) (fabs.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 3/2) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/4) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2)))))))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

426×	`rules-11_binary64`
393×	`rules-20_binary64`
227×	`rules-13_binary64`
226×	`rules-15-rev_binary64`
215×	`rules-12-rev_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1280
1	340	1252
2	1516	1095

Stop Event

1×	node limit

Counts

62 → 69

Calls

Call 1

Inputs
(exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (*.f64 2 (log.f64 a)))))
(-.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (pow.f64 a 4)) (pow.f64 b 4))) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (*.f64 2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 4) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (pow.f64 b 4))) (+.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 a 6) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (pow.f64 b 6))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))))
1
(-.f64 1 (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) (.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(-.f64 1 (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) (.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(-.f64 1 (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) (.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))
(-.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b)))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 4) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 4))) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 4) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 4))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 6) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 6))) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b)))))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b))))))
(-.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (+.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (.f64 3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 4)) (pow.f64 b 4)))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (+.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 6)) (pow.f64 b 6))) (.f64 3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 4)) (pow.f64 b 4))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 2)) (pow.f64 b 2))))

Outputs
(exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (*.f64 2 (log.f64 a)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (*.f64 2 (log.f64 a))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 b (neg.f64 b))) (.f64 2 (log.f64 a))))
(-.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (pow.f64 b 2))))
(-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))) (.f64 a a)) (/.f64 (*.f64 b b) 3/2)))
(-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))) (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (.f64 a a) (/.f64 (*.f64 b b) 3/2))))
(.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 b (neg.f64 b))) (.f64 2 (log.f64 a)))) (.f64 a (/.f64 a (.f64 b b)))) (-.f64 (/.f64 1 (.f64 a (/.f64 a (.f64 b b)))) 3/2))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (pow.f64 a 4)) (pow.f64 b 4))) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (*.f64 2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a))))) (/.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))) (.f64 a a)) (/.f64 (*.f64 b b) 3/2)))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a))))) (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (.f64 a a) (/.f64 (.f64 b b) 3/2))))
(-.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 b (neg.f64 b))) (.f64 2 (log.f64 a)))) (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 4) 3/8)) 1)) (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 b (neg.f64 b))) (.f64 2 (log.f64 a)))) (/.f64 (.f64 a a) (.f64 b (/.f64 b 3/2)))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 4) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (pow.f64 b 4))) (+.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 a 6) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a)))))) (pow.f64 b 6))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (.f64 -1 (pow.f64 b 2))) (.f64 2 (log.f64 a))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 a 6) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))) (pow.f64 b 6)))) (fma.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))))) (/.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 -1 (.f64 b b))) (.f64 2 (log.f64 a)))) (.f64 a a)) (/.f64 (.f64 b b) 3/2)))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (fma.f64 1/16 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))))) (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (neg.f64 (.f64 b b))) (.f64 2 (log.f64 a)))) (/.f64 (.f64 a a) (/.f64 (*.f64 b b) 3/2))))
(-.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 b (neg.f64 b))) (.f64 2 (log.f64 a)))) (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 4) 3/8)) (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 6) 1/16)))) (-.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 b (neg.f64 b))) (.f64 2 (log.f64 a)))) (/.f64 (.f64 a a) (.f64 b (/.f64 b 3/2)))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (.f64 b (neg.f64 b))) (.f64 2 (log.f64 a))))))
1
(-.f64 1 (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 1 (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) (.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8))) (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1) (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1) (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 1 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8)))) (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1)) (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
1
(-.f64 1 (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 1 (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) (.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8))) (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1) (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1) (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 1 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8)))) (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1)) (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
1
(-.f64 1 (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 1 (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))) (.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8))) (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1) (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) 1) (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 1 (.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))) (*.f64 3/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 1 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 4) 3/8)))) (.f64 3/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 3/2))))
(-.f64 (fma.f64 3/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1)) (.f64 b (/.f64 b (.f64 a (/.f64 a 3/2)))))
(exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (*.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b))))))
(-.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b)))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (/.f64 (.f64 (.f64 a a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b)))))) (/.f64 (*.f64 b b) 3/2)))
(-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (.f64 a (/.f64 a (.f64 b b))))))
(-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b)))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b)))))) (.f64 a (/.f64 a (.f64 b b))))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 4) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 4))) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 a 4) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (pow.f64 b 4))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b)))))) (/.f64 (.f64 (.f64 a a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b)))))) (/.f64 (.f64 b b) 3/2)))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b)))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (.f64 a (/.f64 a (*.f64 b b))))))
(-.f64 (/.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b)))))) (+.f64 (.f64 3/8 (pow.f64 a 4)) (pow.f64 b 4))) (pow.f64 b 4)) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b)))))) (.f64 a (/.f64 a (.f64 b b))))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 a 4) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 4))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 6) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 6))) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b)))))))) (.f64 3/2 (/.f64 (.f64 (pow.f64 a 2) (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 1 b))))))) (pow.f64 b 2))))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 a 4) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (pow.f64 b 4))) (fma.f64 1/16 (.f64 (pow.f64 a 6) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (pow.f64 b 6))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))))) (/.f64 (.f64 (.f64 a a) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b)))))) (/.f64 (*.f64 b b) 3/2)))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (fma.f64 1/16 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (neg.f64 (log.f64 b))))) (.f64 a (/.f64 a (.f64 b b))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b)))))) (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b)))))) (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 4) 3/8)) (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 6) 1/16))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (neg.f64 (log.f64 b)))))) (.f64 a (/.f64 a (.f64 b b))))))
(exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b))))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (*.f64 2 (+.f64 (log.f64 a) (log.f64 (/.f64 -1 b))))))
(-.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (.f64 a a) (.f64 b b)))))
(-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (.f64 a (/.f64 a (.f64 b b))))))
(.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))))) (.f64 b b))) (-.f64 (/.f64 1 (.f64 a (/.f64 a (*.f64 b b)))) 3/2))
(-.f64 (+.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (.f64 3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 4)) (pow.f64 b 4)))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)))) (-.f64 (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (.f64 a a) (.f64 b b)))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b)))))))
(-.f64 (fma.f64 3/8 (.f64 (pow.f64 a 4) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (pow.f64 b 4))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (.f64 a (/.f64 a (*.f64 b b))))))
(-.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))))) (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 4) 3/8)) 1)) (.f64 3/2 (.f64 (.f64 a a) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))))) (*.f64 b b)))))
(-.f64 (+.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 6)) (pow.f64 b 6))) (.f64 3/8 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 4)) (pow.f64 b 4))))) (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (-.f64 (log.f64 (/.f64 -1 (pow.f64 a 2))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 a 2)) (pow.f64 b 2))))
(-.f64 (fma.f64 1/16 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 3/8 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (pow.f64 a 4) (pow.f64 b 4))))) (-.f64 (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (.f64 a a) (.f64 b b)))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (*.f64 2 (log.f64 (/.f64 -1 b)))))))
(-.f64 (fma.f64 3/8 (fma.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (pow.f64 a 4) (pow.f64 b 4)) (.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (/.f64 (pow.f64 a 6) (pow.f64 b 6))) 1/6)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b)))))) (.f64 3/2 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (/.f64 -1 (.f64 a a))) (.f64 2 (log.f64 (/.f64 -1 b))))) (.f64 a (/.f64 a (.f64 b b))))))
(+.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))))) (-.f64 (.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))))) (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 b 4) 3/8)) (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 6) 1/16)))) (.f64 3/2 (.f64 (.f64 a a) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (.f64 2 (+.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))))) (.f64 b b))))))

prune277.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	172	3	175

Error

Counts

175 → 3

Alt Table

Status

Error

Program

0.1b

(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))

✓

0.0b

(pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)

▶

0.0b

(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))

Compiler

Compiled 4099 to 2170 computations (47.1% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))
✓	0.0b	(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))
	0.1b	(*.f64 b (/.f64 b a))

series63.0ms (1.4%)

Counts

2 → 33

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))
9.0ms	a	@	inf	(sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))
5.0ms	a	@	0	(sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))
5.0ms	b	@	-inf	(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))
5.0ms	a	@	0	(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))

rewrite86.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`rules-20_binary64`
210×	`rules-34-rev_binary64`
170×	`rules-21_binary64`
134×	`rules-15-rev_binary64`
113×	`rules-24_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	218	27
2	3058	27

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))
(sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (cbrt.f64 a)) (-.f64 0 (cbrt.f64 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (pow.f64 a 1/4)) (-.f64 0 (pow.f64 a 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (-.f64 (neg.f64 (sqrt.f64 a)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (/.f64 1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (fabs.f64 (/.f64 1 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (fabs.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) (/.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))) (sqrt.f64 a)) (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) (sqrt.f64 a)) (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 3/2) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (fabs.f64 (pow.f64 1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (cbrt.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))) (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (-.f64 (*.f64 a (/.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (-.f64 (*.f64 a (/.f64 a b)) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (fabs.f64 (sqrt.f64 (-.f64 (*.f64 a (/.f64 a b)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (fabs.f64 (pow.f64 (-.f64 (*.f64 a (/.f64 a b)) b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 a (/.f64 a b)) b)) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a (/.f64 a b)) b) 1/2) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2))) (fabs.f64 (sqrt.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2) 1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 3/2) (-.f64 a (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) (fabs.f64 (/.f64 1 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 b a)) 3))) (sqrt.f64 (fma.f64 a a (+.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 b a)) 3)))) (fabs.f64 (sqrt.f64 (fma.f64 a a (+.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 a 3) (pow.f64 (*.f64 b (/.f64 b a)) 3))) (*.f64 0 (sqrt.f64 (fma.f64 a a (+.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2) (*.f64 b b)))))) (sqrt.f64 (fma.f64 a a (+.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2)) (fabs.f64 (sqrt.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 2) 1/2) (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (cbrt.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) (pow.f64 (-.f64 a (*.f64 b (/.f64 b a))) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a))))))))))

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

444×	`rules-11_binary64`
435×	`rules-20_binary64`
362×	`rules-12-rev_binary64`
288×	`rules-13_binary64`
278×	`rules-15-rev_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1157
1	407	1139
2	1852	1119

Stop Event

1×	node limit

Counts

127 → 148

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) a)
(+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (*.f64 -1 (pow.f64 b 2))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2)))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2))))) (.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) 5))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
1
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)
(+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))
(neg.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))))
(sqrt.f64 a)
(-.f64 (sqrt.f64 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))
(-.f64 (sqrt.f64 a) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 7))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2)))))
(-.f64 (sqrt.f64 a) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 11))) (pow.f64 b 6))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 7))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)) (.f64 1/8 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5) (pow.f64 b 5)))) (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (.f64 1/8 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))))
(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))))

Outputs
(/.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) a)
(/.f64 (sqrt.f64 (.f64 -1 (.f64 b b))) a)
(/.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) a)
(/.f64 (sqrt.f64 (*.f64 b b)) a)
(+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (*.f64 -1 (pow.f64 b 2))))))
(+.f64 (/.f64 (sqrt.f64 (.f64 -1 (.f64 b b))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (*.f64 b b))))))
(fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (/.f64 (sqrt.f64 (.f64 b (neg.f64 b))) a))
(fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b b))) (/.f64 (sqrt.f64 (.f64 b b)) a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2)))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (.f64 b b))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (.f64 b b)))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 b b))) 3))))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (/.f64 (sqrt.f64 (.f64 b (neg.f64 b))) a)) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (.f64 b (neg.f64 b))) 3))))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b b))) (/.f64 (sqrt.f64 (.f64 b b)) a)) (/.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (sqrt.f64 (.f64 b b)) 3)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2))))) (.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) 5))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (.f64 b b)))) (.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 b b))) 5)))) (-.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (.f64 -1 (.f64 b b))) 3))) (/.f64 (sqrt.f64 (.f64 -1 (.f64 b b))) a)))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 b (neg.f64 b))) 5)) (/.f64 (sqrt.f64 (.f64 b (neg.f64 b))) a))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) 3))))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 b b)) 5)) (/.f64 (sqrt.f64 (.f64 b b)) a))) (/.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (sqrt.f64 (*.f64 b b)) 3)))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (.f64 1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (.f64 b (/.f64 b (.f64 a (/.f64 a 1/2)))))
(-.f64 1 (.f64 1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/2 (.f64 b (/.f64 b (.f64 a a))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/2 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))))
(-.f64 1 (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/2 (.f64 b (/.f64 b (.f64 a a))) (/.f64 (*.f64 1/16 (pow.f64 b 6)) (pow.f64 a 6)))))
1
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (.f64 1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (.f64 b (/.f64 b (.f64 a (/.f64 a 1/2)))))
(-.f64 1 (.f64 1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/2 (.f64 b (/.f64 b (.f64 a a))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/2 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))))))
(-.f64 1 (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (fma.f64 1/2 (.f64 b (/.f64 b (.f64 a a))) (/.f64 (*.f64 1/16 (pow.f64 b 6)) (pow.f64 a 6)))))
(*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)
(.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))))
(+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))
(fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a))))))
(fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a))))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 3) (pow.f64 b 3))))
(-.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3)) (pow.f64 b 3)))
(-.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 3) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5) (pow.f64 b 5)))))
(-.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (+.f64 (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))))) (/.f64 (/.f64 1/16 (pow.f64 b 5)) (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 5)))) (/.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 3)) (pow.f64 b 3)))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 5) (pow.f64 b 5))) (-.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 3) (pow.f64 b 3)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))
(.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) (neg.f64 b))
(neg.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(neg.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(-.f64 (/.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3)) (pow.f64 b 3)) (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5) (pow.f64 b 5)))))
(-.f64 (/.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3)) (pow.f64 b 3)) (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (+.f64 (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))))) (/.f64 (/.f64 1/16 (pow.f64 b 5)) (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5)))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (+.f64 (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5) (pow.f64 b 5))))))
(sqrt.f64 a)
(-.f64 (sqrt.f64 a) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))
(-.f64 (sqrt.f64 a) (.f64 (.f64 b b) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 a 3))))))
(-.f64 (sqrt.f64 a) (.f64 1/2 (.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 a 3))))))
(-.f64 (sqrt.f64 a) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (.f64 b (*.f64 b 1/2))))
(-.f64 (sqrt.f64 a) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 7))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2)))))
(-.f64 (sqrt.f64 a) (fma.f64 1/8 (.f64 (pow.f64 b 4) (sqrt.f64 (/.f64 1 (pow.f64 a 7)))) (.f64 (.f64 b b) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))))
(-.f64 (sqrt.f64 a) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (.f64 b (.f64 1/2 b)) (.f64 1/8 (.f64 (pow.f64 b 4) (sqrt.f64 (/.f64 1 (pow.f64 a 7)))))))
(-.f64 (sqrt.f64 a) (fma.f64 (.f64 b b) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 7))) (.f64 1/8 (pow.f64 b 4)))))
(-.f64 (sqrt.f64 a) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 11))) (pow.f64 b 6))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 7))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (pow.f64 b 2))))))
(-.f64 (sqrt.f64 a) (fma.f64 1/16 (.f64 (pow.f64 b 6) (sqrt.f64 (/.f64 1 (pow.f64 a 11)))) (fma.f64 1/8 (.f64 (pow.f64 b 4) (sqrt.f64 (/.f64 1 (pow.f64 a 7)))) (.f64 (.f64 b b) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 a 3))))))))
(-.f64 (sqrt.f64 a) (fma.f64 (.f64 b b) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (fma.f64 1/16 (.f64 (pow.f64 b 6) (sqrt.f64 (/.f64 1 (pow.f64 a 11)))) (.f64 1/8 (*.f64 (pow.f64 b 4) (sqrt.f64 (/.f64 1 (pow.f64 a 7))))))))
(-.f64 (sqrt.f64 a) (fma.f64 (.f64 b b) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (fma.f64 (pow.f64 b 6) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 a 11)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 a 7))) (*.f64 1/8 (pow.f64 b 4))))))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)
(*.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))
(*.f64 b (sqrt.f64 (/.f64 1 (neg.f64 a))))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))
(fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a)))))
(fma.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))) (.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a)))))))
(fma.f64 b (sqrt.f64 (/.f64 1 (neg.f64 a))) (*.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 (/.f64 1 (neg.f64 a))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)) (.f64 1/8 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (.f64 1/8 (/.f64 (.f64 a a) (*.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3)))))
(-.f64 (fma.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))) (.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))))) (.f64 a (/.f64 a (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))))
(-.f64 (fma.f64 b (sqrt.f64 (/.f64 1 (neg.f64 a))) (.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 (/.f64 1 (neg.f64 a)))))) (.f64 a (/.f64 a (*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (neg.f64 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5) (pow.f64 b 5)))) (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (.f64 1/8 (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5))) (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a)))))) (.f64 1/8 (/.f64 (.f64 a a) (.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3)))))
(-.f64 (fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (fma.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))) (.f64 1/16 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5)))))) (.f64 a (/.f64 a (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 (/.f64 1 (neg.f64 a)))) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 (sqrt.f64 (/.f64 1 (neg.f64 a))) 5)) (.f64 b (sqrt.f64 (/.f64 1 (neg.f64 a)))))) (.f64 a (/.f64 a (*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (neg.f64 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))))
(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))
(.f64 -1 (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a)))))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) (neg.f64 b))
(*.f64 (sqrt.f64 (/.f64 1 (neg.f64 a))) (neg.f64 b))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)))
(neg.f64 (fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))))
(neg.f64 (fma.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))) (.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))))))
(neg.f64 (fma.f64 b (sqrt.f64 (/.f64 1 (neg.f64 a))) (*.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 (/.f64 1 (neg.f64 a)))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b)))
(-.f64 (.f64 1/8 (/.f64 (.f64 a a) (.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3)))) (fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (*.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))))
(-.f64 (.f64 a (/.f64 a (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))) (fma.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))) (.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))))))
(-.f64 (.f64 a (/.f64 a (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (neg.f64 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))) (fma.f64 b (sqrt.f64 (/.f64 1 (neg.f64 a))) (*.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 (/.f64 1 (neg.f64 a)))))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) b))))
(-.f64 (.f64 1/8 (/.f64 (.f64 a a) (.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3)))) (fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5))) (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a)))))))
(-.f64 (.f64 a (/.f64 a (.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))) (fma.f64 1/2 (/.f64 a (.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))))) (fma.f64 b (sqrt.f64 (neg.f64 (/.f64 1 a))) (.f64 1/16 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (neg.f64 (/.f64 1 a))) 5)))))))
(-.f64 (.f64 a (/.f64 a (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (neg.f64 a))) 3) (/.f64 (pow.f64 b 3) 1/8)))) (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 (/.f64 1 (neg.f64 a)))) (fma.f64 1/16 (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 (sqrt.f64 (/.f64 1 (neg.f64 a))) 5)) (*.f64 b (sqrt.f64 (/.f64 1 (neg.f64 a)))))))

prune229.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	189	3	192

Error

Counts

192 → 3

Alt Table

Status

Error

Program

▶

0.1b

(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))

✓

0.0b

(pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)

✓

0.0b

(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))

Compiler

Compiled 3734 to 1711 computations (54.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))
✓	0.0b	(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))
	0.1b	(*.f64 b (/.f64 b a))

series177.0ms (3.9%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	a	@	inf	(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))
30.0ms	a	@	-inf	(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))
26.0ms	b	@	-inf	(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))
24.0ms	a	@	0	(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))
21.0ms	b	@	inf	(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))

rewrite102.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

227×	`rules-34-rev_binary64`
130×	`rules-24_binary64`
126×	`add-sqr-sqrt_binary64`
122×	`pow1_binary64`
122×	`rules-40_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	286	30
2	3791	30

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))
(sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) -1) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (fabs.f64 (pow.f64 1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2)) (fabs.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) -1) (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1) (fabs.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 1/2) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) -1) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 0 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2))) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (*.f64 0 (sqrt.f64 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 1 (*.f64 0 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2)))) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (*.f64 0 (sqrt.f64 a)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (fabs.f64 (pow.f64 1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2)) (fabs.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) -1) (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) -1/2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1) (fabs.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 2) 1/2) (fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a))))))))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

377×	`rules-6_binary64`
248×	`rules-20_binary64`
237×	`rules-12-rev_binary64`
230×	`rules-6-rev_binary64`
221×	`rules-11_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	1239
1	261	1222
2	1149	1202

Stop Event

1×	node limit

Counts

144 → 87

Calls

Call 1

Inputs
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) a)
(+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (*.f64 -1 (pow.f64 b 2))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2)))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2))))) (.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) 5))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)
(+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))
(neg.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))))

Outputs
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (pow.f64 b 2) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (/.f64 (*.f64 b b) a))))))
(/.f64 1 (fabs.f64 (sqrt.f64 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
(/.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) a)
(/.f64 (sqrt.f64 (.f64 (.f64 b b) -1)) a)
(/.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) a)
(/.f64 (sqrt.f64 (*.f64 b b)) a)
(+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (*.f64 -1 (pow.f64 b 2))))))
(+.f64 (/.f64 (sqrt.f64 (.f64 (.f64 b b) -1)) a) (/.f64 (.f64 1/2 a) (sqrt.f64 (.f64 (*.f64 b b) -1))))
(fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (/.f64 (sqrt.f64 (.f64 b (neg.f64 b))) a))
(fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b b))) (/.f64 (sqrt.f64 (.f64 b b)) a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2)))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
(-.f64 (/.f64 (.f64 1/2 a) (sqrt.f64 (.f64 (.f64 b b) -1))) (-.f64 (/.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (sqrt.f64 (.f64 (.f64 b b) -1)) 3)) (/.f64 (sqrt.f64 (.f64 (.f64 b b) -1)) a)))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (/.f64 (sqrt.f64 (.f64 b (neg.f64 b))) a)) (/.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (sqrt.f64 (.f64 b (neg.f64 b))) 3)))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b b))) (/.f64 (sqrt.f64 (.f64 b b)) a)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 (*.f64 b b)) 3) 1/8)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) a) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 (.f64 -1 (pow.f64 b 2))))) (.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 2))) 5))))) (.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 2))) 3))))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 (.f64 b b) -1))) (/.f64 (.f64 1/16 (pow.f64 a 5)) (pow.f64 (sqrt.f64 (.f64 (.f64 b b) -1)) 5))) (-.f64 (/.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (sqrt.f64 (.f64 (.f64 b b) -1)) 3)) (/.f64 (sqrt.f64 (.f64 (.f64 b b) -1)) a)))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 b (neg.f64 b))) 5)) (/.f64 (sqrt.f64 (.f64 b (neg.f64 b))) a))) (/.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) 3)))
(-.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 (.f64 b b))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 (.f64 b b)) 5)) (/.f64 (sqrt.f64 (.f64 b b)) a))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 (.f64 b b)) 3) 1/8)))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (/.f64 (.f64 b b) (/.f64 (.f64 a a) 1/2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2))))
(-.f64 1 (.f64 1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2))))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (/.f64 (.f64 b b) (/.f64 (.f64 a a) 1/2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2))))
(-.f64 1 (.f64 1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2))))))
1
(-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 1 (/.f64 (.f64 b b) (/.f64 (.f64 a a) 1/2)))
(-.f64 1 (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2))))
(-.f64 1 (.f64 1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(-.f64 1 (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2)))))
(-.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/2 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))))))
(-.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (.f64 b b) (.f64 a (/.f64 a 1/2))))))
(*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)
(.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))))
(.f64 b (sqrt.f64 (/.f64 1 (.f64 a a))))
(+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))
(fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a))))))
(fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a))))))
(.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) (+.f64 b (/.f64 (/.f64 1/2 b) (/.f64 1 (*.f64 a a)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 3) (pow.f64 b 3))))
(-.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 3) (pow.f64 b 3))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) (+.f64 b (/.f64 (/.f64 1/2 b) (/.f64 1 (.f64 a a))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (*.f64 a a))) 3) (pow.f64 b 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5) (pow.f64 b 5)))))
(-.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5) (pow.f64 b 5)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) 5) (pow.f64 b 5))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) (+.f64 b (/.f64 (/.f64 1/2 b) (/.f64 1 (.f64 a a))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (*.f64 a a))) 3) (pow.f64 b 3)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))
(.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) (neg.f64 b))
(.f64 b (neg.f64 (sqrt.f64 (/.f64 1 (.f64 a a)))))
(neg.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(neg.f64 (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) (+.f64 b (/.f64 (/.f64 1/2 b) (/.f64 1 (*.f64 a a))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b)))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (*.f64 a a)))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) 3) (pow.f64 b 3))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) (+.f64 b (/.f64 (/.f64 1/2 b) (/.f64 1 (*.f64 a a))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) 5) (pow.f64 b 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 a 2))) b))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) b (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a)))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5) (pow.f64 b 5)))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (.f64 a a))) 3) (pow.f64 b 3))) (fma.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))) (+.f64 (/.f64 1/2 (.f64 b (sqrt.f64 (/.f64 -1 (.f64 a a))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 a a))) 5) (pow.f64 b 5))))))
(-.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) 3) (pow.f64 b 3))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) 5) (pow.f64 b 5)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 a a))) (+.f64 b (/.f64 (/.f64 1/2 b) (/.f64 1 (*.f64 a a))))))

prune271.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	190	3	193

Error

Counts

193 → 3

Alt Table

Status

Error

Program

✓

0.1b

(/.f64 1 (fabs.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))))

✓

0.0b

(pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)

✓

0.0b

(/.f64 (sqrt.f64 (-.f64 a (*.f64 b (/.f64 b a)))) (sqrt.f64 a))

Compiler

Compiled 4107 to 2044 computations (50.2% saved)

regimes445.0ms (9.7%)

Accuracy

Total 0.0b remaining (64.1%)

Threshold costs 0.0b (64.1%)

Counts

40 → 1

Compiler

Compiled 4258 to 2785 computations (34.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4294967295

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)

Outputs
(pow.f64 (pow.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a) 3/2) 1/3)

end108.0ms (2.3%)

Stop Event

1×

done

Compiler

Compiled 75 to 50 computations (33.3% saved)

Details

analyze61.0ms (1.3%)

sample1.8s (38.8%)

preprocess92.0ms (2%)

simplify37.0ms (0.8%)

prune6.0ms (0.1%)

localize13.0ms (0.3%)

series72.0ms (1.6%)

rewrite100.0ms (2.2%)

simplify66.0ms (1.4%)

prune223.0ms (4.9%)

localize23.0ms (0.5%)

series54.0ms (1.2%)

rewrite72.0ms (1.6%)

simplify66.0ms (1.4%)

prune277.0ms (6%)

localize13.0ms (0.3%)

series63.0ms (1.4%)

rewrite86.0ms (1.9%)

simplify69.0ms (1.5%)

prune229.0ms (5%)

localize16.0ms (0.4%)

series177.0ms (3.9%)

rewrite102.0ms (2.2%)

simplify62.0ms (1.4%)

prune271.0ms (5.9%)

regimes445.0ms (9.7%)

simplify2.0ms (0%)

end108.0ms (2.3%)

Profiling